Search a number
-
+
20265400 = 2352195333
BaseRepresentation
bin100110101001…
…1100110111000
31102010120220101
41031103212320
520141443100
62002205144
7334152541
oct115234670
942116811
1020265400
1110491771
1269537b4
13427717c
1429974c8
151ba486a
hex13539b8

20265400 has 48 divisors (see below), whose sum is σ = 49606200. Its totient is φ = 7678080.

The previous prime is 20265391. The next prime is 20265407. The reversal of 20265400 is 456202.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20265407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134 + ... + 6466.

Almost surely, 220265400 is an apocalyptic number.

20265400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24803100).

20265400 is an abundant number, since it is smaller than the sum of its proper divisors (29340800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20265400 is a wasteful number, since it uses less digits than its factorization.

20265400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 20265400 is about 4501.7107859124. The cubic root of 20265400 is about 272.6371668664.

The spelling of 20265400 in words is "twenty million, two hundred sixty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 5333 10666 21332 26665 42664 53330 101327 106660 133325 202654 213320 266650 405308 506635 533300 810616 1013270 1066600 2026540 2533175 4053080 5066350 10132700 20265400